Yikes, something really went on that board. I will have a look in my service manual in an hour or 2 and see what was there. Don't replace the ceramic capacitors, there is no need, in 20 years of servicing synths I have never seen one fail. They probably used tantalums to save space back in the days before really small electrolytics, and in the keying circuit possibly too because of their lower leakage. you can see in the bottom picture someone has already put an electrolytic in at some point among the tantalums.
Those 2 on the power supply board need to be replaced right away, as for the rest, you can just buy new tantalums if you want, but they are expensive, or as I did with my Omni 2 just get normal polarized electrolytics with the same ratings as the tantalums and replace the lot. My machine played fine with electro's, so leakage in the trigger circuit seems not to bee an issue. Don't forget to put them in with the same polarity as the tantalums you remove.
As for the existing electrolytics, it might be good to replace the power supply filter caps, they would have copped a few spikes and surges over the last 25 years or so and would be a bit tired for sure.